A+ CATEGORY SCIENTIFIC UNIT

On involutions of iterated bundle functors

Volume 106 / 2006

Miroslav Doupovec, W/lodzimierz M. Mikulski Colloquium Mathematicum 106 (2006), 135-145 MSC: 58A05, 58A20. DOI: 10.4064/cm106-1-12

Abstract

We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with $m$-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.

Authors

  • Miroslav DoupovecDepartment of Mathematics
    Brno University of Technology
    FSI VUT Brno
    Technická 2
    616 69 Brno, Czech Republic
    e-mail
  • W/lodzimierz M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland
    e-mail

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